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As @kcrisman said, try an implicit plot. For example:

var('c t')
implicit_plot(c== 4001/40*t + 1/164040*log(4201) + log(2) - 1/164040*log(100*c + 4001) + 164041/164040*log(c - 1),(t,0,.1),(c,0,10),aspect_ratio=.01)

Here's a link to see the result: http://sagecell.sagemath.org/?q=jcyluk

As @kcrisman said, try an implicit plot. For example:

var('c t')
implicit_plot(c== 4001/40*t + 1/164040*log(4201) + log(2) - 1/164040*log(100*c + 4001) + 164041/164040*log(c - 1),(t,0,.1),(c,0,10),aspect_ratio=.01)

Here's a link to see the result: http://sagecell.sagemath.org/?q=jcyluk

As @kcrisman said, try an implicit plot. For example:

var('c t')
implicit_plot(c== implicit_plot(log(c)== 4001/40*t + 1/164040*log(4201) + log(2) - 1/164040*log(100*c + 4001) + 164041/164040*log(c - 1),(t,0,.1),(c,0,10),aspect_ratio=.01)

Here's a link to see the result: http://sagecell.sagemath.org/?q=jcyluk

As @kcrisman said, try an implicit plot. For example:

var('c t')
implicit_plot(log(c)== 4001/40*t + 1/164040*log(4201) + log(2) - 1/164040*log(100*c + 4001) + 164041/164040*log(c - 1),(t,0,.1),(c,0,10),aspect_ratio=.01)

Here's a link an updated link to see the result: http://sagecell.sagemath.org/?q=jcylukresult.